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Finding the Fourth Proportional to 6,676.24, 9,213.14 and 3,692

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Solution

The fourth proportional to 6,676.24, 9,213.14 and 3,692 is: 5,094.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.24 : 9,213.14 = 3,692 : x
  2. Step 2: Convert to fraction form
    6,676.24/9,213.14 = 3,692/x
  3. Step 3: Cross multiply
    6,676.24x = 9,213.14 × 3,692
  4. Step 4: Simplify right side
    6,676.24x = 34,014,912.88
  5. Step 5: Solve for x
    x = 34,014,912.88/6,676.24
  6. Step 6: Final answer
    x = 5,094.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.